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142350960 = 24354491321
BaseRepresentation
bin10000111110000…
…01101001110000
3100220212011210210
420133001221300
5242420212320
622043024120
73345651243
oct1037015160
9326764723
10142350960
1173398424
123b80b040
132365144b
1414c9725a
15c76d0e0
hex87c1a70

142350960 has 80 divisors (see below), whose sum is σ = 442605600. Its totient is φ = 37847040.

The previous prime is 142350931. The next prime is 142350973. The reversal of 142350960 is 69053241.

142350960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107100 + ... + 108420.

It is an arithmetic number, because the mean of its divisors is an integer number (5532570).

Almost surely, 2142350960 is an apocalyptic number.

142350960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142350960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221302800).

142350960 is an abundant number, since it is smaller than the sum of its proper divisors (300254640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142350960 is a wasteful number, since it uses less digits than its factorization.

142350960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 142350960 is about 11931.0921545347. The cubic root of 142350960 is about 522.1398019583.

The spelling of 142350960 in words is "one hundred forty-two million, three hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 449 898 1321 1347 1796 2245 2642 2694 3592 3963 4490 5284 5388 6605 6735 7184 7926 8980 10568 10776 13210 13470 15852 17960 19815 21136 21552 26420 26940 31704 35920 39630 52840 53880 63408 79260 105680 107760 158520 317040 593129 1186258 1779387 2372516 2965645 3558774 4745032 5931290 7117548 8896935 9490064 11862580 14235096 17793870 23725160 28470192 35587740 47450320 71175480 142350960